10097952 has 48 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 3345152.

The previous prime is 10097951. The next prime is 10097959. The reversal of 10097952 is 25979001.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10097951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27949 + ... + 28307.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^10097952 is an apocalyptic number.

10097952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10097952 is an abundant number, since it is smaller than the sum of its proper divisors (16573728).

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

10097952 is a wasteful number, since it uses less digits than its factorization.

10097952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 10097952 is about 3177.7274898896. The cubic root of 10097952 is about 216.1446219402.

The spelling of 10097952 in words is "ten million, ninety-seven thousand, nine hundred fifty-two".