203972 has 6 divisors (see below), whose sum is σ = 356958. Its totient is φ = 101984.

The previous prime is 203971. The next prime is 203977. The reversal of 203972 is 279302.

It can be written as a sum of positive squares in only one way, i.e., 111556 + 92416 = 334^2 + 304^2 .

It is not an unprimeable number, because it can be changed into a prime (203971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25493 + ... + 25500.

It is an arithmetic number, because the mean of its divisors is an integer number (59493).

2²⁰³⁹⁷² is an apocalyptic number.

It is an amenable number.

203972 is a deficient number, since it is larger than the sum of its proper divisors (152986).

203972 is a wasteful number, since it uses less digits than its factorization.

203972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50997 (or 50995 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 203972 is about 451.6325940408. The cubic root of 203972 is about 58.8649597543.

The spelling of 203972 in words is "two hundred three thousand, nine hundred seventy-two".