53465 has 12 divisors (see below), whose sum is σ = 69996. Its totient is φ = 39168.

The previous prime is 53453. The next prime is 53479. The reversal of 53465 is 56435.

53465 = 163² + 164².

53465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10201 + 43264 = 101^2 + 208^2 .

It is not a de Polignac number, because 53465 - 2⁶ = 53401 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 53465.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1427 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (5833).

2⁵³⁴⁶⁵ is an apocalyptic number.

53465 is the 164-th centered square number.

It is an amenable number.

53465 is a deficient number, since it is larger than the sum of its proper divisors (16531).

53465 is a wasteful number, since it uses less digits than its factorization.

53465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its digits is 1800, while the sum is 23.

The square root of 53465 is about 231.2249986485. The cubic root of 53465 is about 37.6723914690.

The spelling of 53465 in words is "fifty-three thousand, four hundred sixty-five".