972533100 has 144 divisors (see below), whose sum is σ = 3508275456. Its totient is φ = 202080000.

The previous prime is 972533077. The next prime is 972533113. The reversal of 972533100 is 1335279.

It is a super-2 number, since 2×972533100² = 1891641261191220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2050 + ... + 44150.

It is an arithmetic number, because the mean of its divisors is an integer number (24363024).

Almost surely, 2^972533100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972533100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754137728).

972533100 is an abundant number, since it is smaller than the sum of its proper divisors (2535742356).

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

972533100 is a wasteful number, since it uses less digits than its factorization.

972533100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42136 (or 42129 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 972533100 is about 31185.4629595265. The cubic root of 972533100 is about 990.7592380126.

Adding to 972533100 its reverse (1335279), we get a palindrome (973868379).

The spelling of 972533100 in words is "nine hundred seventy-two million, five hundred thirty-three thousand, one hundred".