938961 has 27 divisors (see below), whose sum is σ = 1520571. Its totient is φ = 558144.

The previous prime is 938953. The next prime is 938963. The reversal of 938961 is 169839.

The square root of 938961 is 969.

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

It can be written as a sum of positive squares in only one way, i.e., 731025 + 207936 = 855^2 + 456^2 .

It is not a de Polignac number, because 938961 - 2³ = 938953 is a prime.

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 26 ways as a sum of consecutive naturals, for example, 49410 + ... + 49428.

938961 is a Friedman number, since it can be written as 969^(8/(3+1)), using all its digits and the basic arithmetic operations.

2⁹³⁸⁹⁶¹ is an apocalyptic number.

938961 is the 969-th square number.

938961 is the 485-th centered octagonal number.

It is an amenable number.

938961 is a deficient number, since it is larger than the sum of its proper divisors (581610).

938961 is a wasteful number, since it uses less digits than its factorization.

938961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The cubic root of 938961 is about 97.9225057229.

Multiplying 938961 by its sum of digits (36), we get a square (33802596 = 5814²).

Adding to 938961 its product of digits (11664), we get a square (950625 = 975²).

Multiplying 938961 by its product of digits (11664), we get a square (10952041104 = 104652²).

The spelling of 938961 in words is "nine hundred thirty-eight thousand, nine hundred sixty-one".