964521 has 16 divisors (see below), whose sum is σ = 1444800. Its totient is φ = 635904.

The previous prime is 964519. The next prime is 964531. The reversal of 964521 is 125469.

964521 = 4² + 5² + ... + 142².

It is not a de Polignac number, because 964521 - 2¹ = 964519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (964501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3625 + ... + 3881.

It is an arithmetic number, because the mean of its divisors is an integer number (90300).

2⁹⁶⁴⁵²¹ is an apocalyptic number.

It is an amenable number.

964521 is a deficient number, since it is larger than the sum of its proper divisors (480279).

964521 is a wasteful number, since it uses less digits than its factorization.

964521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 964521 is about 982.1003003767. The cubic root of 964521 is about 98.8030980796.

Subtracting from 964521 its product of digits (2160), we obtain a square (962361 = 981²).

It can be divided in two parts, 964 and 521, that added together give a triangular number (1485 = T₅₄).

The spelling of 964521 in words is "nine hundred sixty-four thousand, five hundred twenty-one".