972241020 has 144 divisors (see below), whose sum is σ = 3151424640. Its totient is φ = 241895808.

The previous prime is 972241019. The next prime is 972241021. The reversal of 972241020 is 20142279.

It is an interprime number because it is at equal distance from previous prime (972241019) and next prime (972241021).

It is a super-4 number, since 4×972241020⁴ (a number of 37 digits) contains 4444 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972241021) 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, 227019 + ... + 231261.

Almost surely, 2^972241020 is an apocalyptic number.

972241020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575712320).

972241020 is an abundant number, since it is smaller than the sum of its proper divisors (2179183620).

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

972241020 is a wasteful number, since it uses less digits than its factorization.

972241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 972241020 is about 31180.7796567052. The cubic root of 972241020 is about 990.6600434684.

Adding to 972241020 its reverse (20142279), we get a palindrome (992383299).

The spelling of 972241020 in words is "nine hundred seventy-two million, two hundred forty-one thousand, twenty".