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4137325 = 52612713
BaseRepresentation
bin1111110010000101101101
321210012100021
433302011231
52024343300
6224402141
750111113
oct17620555
97705307
104137325
112376485
121476351
13b1b22a
14799ab3
1556ad1a
hex3f216d

4137325 has 12 divisors (see below), whose sum is σ = 5216308. Its totient is φ = 3254400.

The previous prime is 4137323. The next prime is 4137337. The reversal of 4137325 is 5237314.

It can be written as a sum of positive squares in 6 ways, for example, as 48841 + 4088484 = 221^2 + 2022^2 .

It is not a de Polignac number, because 4137325 - 21 = 4137323 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 48 + 1 + 3 + 72 + 313 + 219 + 59 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4137325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169 + ... + 2881.

Almost surely, 24137325 is an apocalyptic number.

It is an amenable number.

4137325 is a deficient number, since it is larger than the sum of its proper divisors (1078983).

4137325 is a wasteful number, since it uses less digits than its factorization.

4137325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2779 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 4137325 is about 2034.0415433319. The cubic root of 4137325 is about 160.5362864097.

The spelling of 4137325 in words is "four million, one hundred thirty-seven thousand, three hundred twenty-five".

Divisors: 1 5 25 61 305 1525 2713 13565 67825 165493 827465 4137325