87257000 has 32 divisors (see below), whose sum is σ = 204183720. Its totient is φ = 34902400.

The previous prime is 87256993. The next prime is 87257003. The reversal of 87257000 is 75278.

It can be written as a sum of positive squares in 4 ways, for example, as 4919524 + 82337476 = 2218^2 + 9074^2 .

It is a super-2 number, since 2×87257000² = 15227568098000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87257003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42629 + ... + 44628.

Almost surely, 2^87257000 is an apocalyptic number.

It is an amenable number.

87257000 is an abundant number, since it is smaller than the sum of its proper divisors (116926720).

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

87257000 is a wasteful number, since it uses less digits than its factorization.

87257000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87278 (or 87264 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 87257000 is about 9341.1455400288. The cubic root of 87257000 is about 443.5406471306.

The spelling of 87257000 in words is "eighty-seven million, two hundred fifty-seven thousand".