97257748 has 72 divisors (see below), whose sum is σ = 212443560. Its totient is φ = 38841600.

The previous prime is 97257691. The next prime is 97257749. The reversal of 97257748 is 84775279.

It can be written as a sum of positive squares in 4 ways, for example, as 43850884 + 53406864 = 6622^2 + 7308^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97257749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962898 + ... + 962998.

It is an arithmetic number, because the mean of its divisors is an integer number (2950605).

Almost surely, 2^97257748 is an apocalyptic number.

97257748 is a gapful number since it is divisible by the number (98) 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 97257748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106221780).

97257748 is an abundant number, since it is smaller than the sum of its proper divisors (115185812).

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

97257748 is a wasteful number, since it uses less digits than its factorization.

97257748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 127 counting only the distinct ones).

The product of its digits is 987840, while the sum is 49.

The square root of 97257748 is about 9861.9342930279. The cubic root of 97257748 is about 459.8766966300.

The spelling of 97257748 in words is "ninety-seven million, two hundred fifty-seven thousand, seven hundred forty-eight".