938964 has 36 divisors (see below), whose sum is σ = 2377536. Its totient is φ = 288288.

The previous prime is 938963. The next prime is 938969. The reversal of 938964 is 469839.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1797 + ... + 2259.

938964 is a Friedman number, since it can be written as 969^(8/4)+3, using all its digits and the basic arithmetic operations.

2⁹³⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 938964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188768).

938964 is an abundant number, since it is smaller than the sum of its proper divisors (1438572).

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

938964 is a wasteful number, since it uses less digits than its factorization.

938964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 938964 is about 969.0015479864. The cubic root of 938964 is about 97.9226100110.

It can be divided in two parts, 9389 and 64, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 938964 in words is "nine hundred thirty-eight thousand, nine hundred sixty-four".