263972 has 6 divisors (see below), whose sum is σ = 461958. Its totient is φ = 131984.

The previous prime is 263957. The next prime is 263983. The reversal of 263972 is 279362.

263972 is nontrivially palindromic in base 7.

263972 is digitally balanced in base 3, 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., 246016 + 17956 = 496^2 + 134^2 .

It is a nialpdrome in base 15.

It is an unprimeable number.

263972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32993 + ... + 33000.

It is an arithmetic number, because the mean of its divisors is an integer number (76993).

2²⁶³⁹⁷² is an apocalyptic number.

It is an amenable number.

263972 is a deficient number, since it is larger than the sum of its proper divisors (197986).

263972 is a wasteful number, since it uses less digits than its factorization.

263972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65997 (or 65995 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 263972 is about 513.7820549611. The cubic root of 263972 is about 64.1484185662.

The spelling of 263972 in words is "two hundred sixty-three thousand, nine hundred seventy-two".