963972 has 18 divisors (see below), whose sum is σ = 2436798. Its totient is φ = 321312.

The previous prime is 963943. The next prime is 963973. The reversal of 963972 is 279369.

963972 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 only one way, i.e., 665856 + 298116 = 816^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 26777 = 963972 / (9 + 6 + 3 + 9 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (963973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13353 + ... + 13424.

2⁹⁶³⁹⁷² is an apocalyptic number.

It is an amenable number.

963972 is an abundant number, since it is smaller than the sum of its proper divisors (1472826).

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

963972 is a wasteful number, since it uses less digits than its factorization.

963972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26787 (or 26782 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 963972 is about 981.8207575724. The cubic root of 963972 is about 98.7843484634.

The spelling of 963972 in words is "nine hundred sixty-three thousand, nine hundred seventy-two".