88007257 has 12 divisors (see below), whose sum is σ = 98589420. Its totient is φ = 78431808.

The previous prime is 88007251. The next prime is 88007263. The reversal of 88007257 is 75270088.

It is an interprime number because it is at equal distance from previous prime (88007251) and next prime (88007263).

It can be written as a sum of positive squares in 6 ways, for example, as 4096 + 88003161 = 64^2 + 9381^2 .

It is not a de Polignac number, because 88007257 - 2¹⁵ = 87974489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88007251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4078 + ... + 13879.

It is an arithmetic number, because the mean of its divisors is an integer number (8215785).

Almost surely, 2^88007257 is an apocalyptic number.

It is an amenable number.

88007257 is a deficient number, since it is larger than the sum of its proper divisors (10582163).

88007257 is a wasteful number, since it uses less digits than its factorization.

88007257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18012 (or 17999 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 88007257 is about 9381.2183110724. The cubic root of 88007257 is about 444.8082446138.

The spelling of 88007257 in words is "eighty-eight million, seven thousand, two hundred fifty-seven".