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3705625 = 5472112
BaseRepresentation
bin1110001000101100011001
320222021011101
432020230121
51422040000
6211231401
743332400
oct16105431
96867141
103705625
112101100
1212a8561
139c98a1
146c6637
154d2e6a
hex388b19

3705625 has 45 divisors (see below), whose sum is σ = 5920761. Its totient is φ = 2310000.

The previous prime is 3705623. The next prime is 3705629. The reversal of 3705625 is 5265073.

The square root of 3705625 is 1925.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 290521 + 3415104 = 539^2 + 1848^2 .

It is not a de Polignac number, because 3705625 - 21 = 3705623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3705593 and 3705602.

It is not an unprimeable number, because it can be changed into a prime (3705623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 336870 + ... + 336880.

Almost surely, 23705625 is an apocalyptic number.

3705625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3705625 is the 1925-th square number.

3705625 is the 963-rd centered octagonal number.

It is an amenable number.

3705625 is a deficient number, since it is larger than the sum of its proper divisors (2215136).

3705625 is an equidigital number, since it uses as much as digits as its factorization.

3705625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The cubic root of 3705625 is about 154.7463767646.

It can be divided in two parts, 370 and 5625, that added together give a palindrome (5995).

The spelling of 3705625 in words is "three million, seven hundred five thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 125 175 245 275 385 539 605 625 847 875 1225 1375 1925 2695 3025 4235 4375 5929 6125 6875 9625 13475 15125 21175 29645 30625 48125 67375 75625 105875 148225 336875 529375 741125 3705625