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61425 = 3352713
BaseRepresentation
bin1110111111110001
310010021000
432333301
53431200
61152213
7344040
oct167761
9103230
1061425
1142171
122b669
1321c60
1418557
1513300
hexeff1

61425 has 48 divisors (see below), whose sum is σ = 138880. Its totient is φ = 25920.

The previous prime is 61417. The next prime is 61441. The reversal of 61425 is 52416.

It is a happy number.

61425 is nontrivially palindromic in base 8.

61425 is a nontrivial binomial coefficient, being equal to C(351, 2).

It is not a de Polignac number, because 61425 - 23 = 61417 is a prime.

61425 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 61398 and 61407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4719 + ... + 4731.

261425 is an apocalyptic number.

61425 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61425 is the 350-th triangular number.

It is an amenable number.

61425 is an abundant number, since it is smaller than the sum of its proper divisors (77455).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69440).

61425 is a wasteful number, since it uses less digits than its factorization.

61425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 28 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 61425 is about 247.8406746279. The cubic root of 61425 is about 39.4561817143.

Subtracting from 61425 its reverse (52416), we obtain a palindrome (9009).

It can be divided in two parts, 6 and 1425, that added together give a triangular number (1431 = T53).

The spelling of 61425 in words is "sixty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 135 175 189 195 225 273 315 325 351 455 525 585 675 819 945 975 1365 1575 1755 2275 2457 2925 4095 4725 6825 8775 12285 20475 61425