972261150 has 96 divisors (see below), whose sum is σ = 2807820288. Its totient is φ = 218025600.

The previous prime is 972261109. The next prime is 972261151. The reversal of 972261150 is 51162279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972261151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46915 + ... + 64385.

It is an arithmetic number, because the mean of its divisors is an integer number (29248128).

Almost surely, 2^972261150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972261150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403910144).

972261150 is an abundant number, since it is smaller than the sum of its proper divisors (1835559138).

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

972261150 is a wasteful number, since it uses less digits than its factorization.

972261150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17546 (or 17541 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 972261150 is about 31181.1024500418. The cubic root of 972261150 is about 990.6668805416. Note that the first 3 decimals are identical.

The spelling of 972261150 in words is "nine hundred seventy-two million, two hundred sixty-one thousand, one hundred fifty".