253972 has 6 divisors (see below), whose sum is σ = 444458. Its totient is φ = 126984.

The previous prime is 253969. The next prime is 253987. The reversal of 253972 is 279352.

It can be written as a sum of positive squares in only one way, i.e., 148996 + 104976 = 386^2 + 324^2 .

It is a d-powerful number, because it can be written as 2¹² + 5⁴ + 9⁴ + 3¹¹ + 7 + 2¹⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 253972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31743 + ... + 31750.

2²⁵³⁹⁷² is an apocalyptic number.

It is an amenable number.

253972 is a deficient number, since it is larger than the sum of its proper divisors (190486).

253972 is a wasteful number, since it uses less digits than its factorization.

253972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63497 (or 63495 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 253972 is about 503.9563473159. The cubic root of 253972 is about 63.3279281321.

Adding to 253972 its product of digits (3780), we get a palindrome (257752).

It can be divided in two parts, 253 and 972, that added together give a triangular number (1225 = T₄₉).

The spelling of 253972 in words is "two hundred fifty-three thousand, nine hundred seventy-two".