85264 has 15 divisors (see below), whose sum is σ = 167493. Its totient is φ = 42048.

The previous prime is 85259. The next prime is 85297. The reversal of 85264 is 46258.

Multipling 85264 by its sum of digits (25), we get a square (2131600 = 1460^{2}).

85264 = T_{7} + T_{8} + ... +
T_{79}.

The square root of 85264 is 292.

It is a perfect power (a square), and thus also a powerful number.

85264 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 36864 = 220^2 + 192^2 .

It is a Duffinian number.

85264 is an undulating number in base 12.

It is an unprimeable number.

85264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1132 + ... + 1204.

85264 is a Friedman number, since it can be written as ((65+8)*4)^2, using all its digits and the basic arithmetic operations.

2^{85264} is an apocalyptic number.

85264 is the 292-nd square number.

It is an amenable number.

85264 is a deficient number, since it is larger than the sum of its proper divisors (82229).

85264 is an equidigital number, since it uses as much as digits as its factorization.

85264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 75 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The cubic root of 85264 is about 44.0137697950.

The spelling of 85264 in words is "eighty-five thousand, two hundred sixty-four".

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.063 sec. • engine limits •