11677725 has 72 divisors (see below), whose sum is σ = 22980672. Its totient is φ = 5644800.

The previous prime is 11677709. The next prime is 11677741. The reversal of 11677725 is 52777611.

It is an interprime number because it is at equal distance from previous prime (11677709) and next prime (11677741).

It is not a de Polignac number, because 11677725 - 2⁴ = 11677709 is a prime.

It is a super-2 number, since 2×11677725² = 272738522351250, which contains 22 as substring.

Its product of digits (20580) is a multiple of the sum of its prime factors (147).

It is a self number, because there is not a number n which added to its sum of digits gives 11677725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164440 + ... + 164510.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 2^11677725 is an apocalyptic number.

11677725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11677725 is a deficient number, since it is larger than the sum of its proper divisors (11302947).

11677725 is a wasteful number, since it uses less digits than its factorization.

11677725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 11677725 is about 3417.2686461559. The cubic root of 11677725 is about 226.8747068730.

It can be divided in two parts, 116 and 77725, that added together give a square (77841 = 279²).

The spelling of 11677725 in words is "eleven million, six hundred seventy-seven thousand, seven hundred twenty-five".