87525945 has 72 divisors (see below), whose sum is σ = 174199896. Its totient is φ = 40495104.

The previous prime is 87525943. The next prime is 87525953. The reversal of 87525945 is 54952578.

87525945 is a `hidden beast` number, since 8 + 7 + 52 + 594 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10419984 + 77105961 = 3228^2 + 8781^2 .

It is not a de Polignac number, because 87525945 - 2¹ = 87525943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 87525945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87525943) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128947 + ... + 129623.

It is an arithmetic number, because the mean of its divisors is an integer number (2419443).

Almost surely, 2^87525945 is an apocalyptic number.

87525945 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87525945 is a deficient number, since it is larger than the sum of its proper divisors (86673951).

87525945 is a wasteful number, since it uses less digits than its factorization.

87525945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 715 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 87525945 is about 9355.5301827315. The cubic root of 87525945 is about 443.9958759052.

The spelling of 87525945 in words is "eighty-seven million, five hundred twenty-five thousand, nine hundred forty-five".