9252900 has 144 divisors (see below), whose sum is σ = 31248000. Its totient is φ = 2344320.

The previous prime is 9252883. The next prime is 9252917. The reversal of 9252900 is 92529.

It is an interprime number because it is at equal distance from previous prime (9252883) and next prime (9252917).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 62026 + ... + 62174.

It is an arithmetic number, because the mean of its divisors is an integer number (217000).

Almost surely, 2^9252900 is an apocalyptic number.

9252900 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 9252900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624000).

9252900 is an abundant number, since it is smaller than the sum of its proper divisors (21995100).

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

9252900 is a wasteful number, since it uses less digits than its factorization.

9252900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9252900 is about 3041.8579848507. The cubic root of 9252900 is about 209.9387576518.

Multiplying 9252900 by its reverse (92529), we get a square (856161584100 = 925290²).

9252900 divided by its reverse (92529) gives a square (100 = 10²).

The spelling of 9252900 in words is "nine million, two hundred fifty-two thousand, nine hundred".