521964 has 42 divisors (see below), whose sum is σ = 1377180. Its totient is φ = 173016.

The previous prime is 521929. The next prime is 521981. The reversal of 521964 is 469125.

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

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2827 + ... + 3005.

It is an arithmetic number, because the mean of its divisors is an integer number (32790).

2⁵²¹⁹⁶⁴ is an apocalyptic number.

521964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688590).

521964 is an abundant number, since it is smaller than the sum of its proper divisors (855216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

521964 is a wasteful number, since it uses less digits than its factorization.

521964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

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

The square root of 521964 is about 722.4707606540. The cubic root of 521964 is about 80.5156277929.

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

The spelling of 521964 in words is "five hundred twenty-one thousand, nine hundred sixty-four".