87601257 has 48 divisors (see below), whose sum is σ = 140474880. Its totient is φ = 54432000.

The previous prime is 87601249. The next prime is 87601301. The reversal of 87601257 is 75210678.

It is not a de Polignac number, because 87601257 - 2³ = 87601249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87606257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218257 + ... + 218657.

It is an arithmetic number, because the mean of its divisors is an integer number (2926560).

Almost surely, 2^87601257 is an apocalyptic number.

87601257 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

87601257 is a deficient number, since it is larger than the sum of its proper divisors (52873623).

87601257 is a wasteful number, since it uses less digits than its factorization.

87601257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 87601257 is about 9359.5543163123. The cubic root of 87601257 is about 444.1231853230.

The spelling of 87601257 in words is "eighty-seven million, six hundred one thousand, two hundred fifty-seven".