972800253 has 16 divisors (see below), whose sum is σ = 1441809600. Its totient is φ = 648252720.

The previous prime is 972800251. The next prime is 972800267. The reversal of 972800253 is 352008279.

It is a happy number.

It is not a de Polignac number, because 972800253 - 2¹ = 972800251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972800251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69723 + ... + 82503.

It is an arithmetic number, because the mean of its divisors is an integer number (90113100).

Almost surely, 2^972800253 is an apocalyptic number.

It is an amenable number.

972800253 is a deficient number, since it is larger than the sum of its proper divisors (469009347).

972800253 is a wasteful number, since it uses less digits than its factorization.

972800253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15609 (or 15603 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 972800253 is about 31189.7459592091. The cubic root of 972800253 is about 990.8499496022.

The spelling of 972800253 in words is "nine hundred seventy-two million, eight hundred thousand, two hundred fifty-three".