88513 has 2 divisors, whose sum is σ = 88514. Its totient is φ = 88512.

The previous prime is 88499. The next prime is 88523. The reversal of 88513 is 31588.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 3249 = 292^2 + 57^2 .

It is a cyclic number.

It is not a de Polignac number, because 88513 - 2⁹ = 88001 is a prime.

It is not a weakly prime, because it can be changed into another prime (88523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44256 + 44257.

It is an arithmetic number, because the mean of its divisors is an integer number (44257).

2⁸⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

88513 is a deficient number, since it is larger than the sum of its proper divisors (1).

88513 is an equidigital number, since it uses as much as digits as its factorization.

88513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 960, while the sum is 25.

The square root of 88513 is about 297.5113443215. The cubic root of 88513 is about 44.5658663537.

Subtracting from 88513 its sum of digits (25), we obtain a palindrome (88488).

It can be divided in two parts, 885 and 13, that added together give a palindrome (898).

The spelling of 88513 in words is "eighty-eight thousand, five hundred thirteen".