97205262132 has 288 divisors, whose sum is σ = 283511208960. Its totient is φ = 25615872000.

The previous prime is 97205262073. The next prime is 97205262137. The reversal of 97205262132 is 23126250279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97205262137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29715657 + ... + 29718927.

It is an arithmetic number, because the mean of its divisors is an integer number (984413920).

Almost surely, 2^97205262132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97205262132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141755604480).

97205262132 is an abundant number, since it is smaller than the sum of its proper divisors (186305946828).

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

97205262132 is a wasteful number, since it uses less digits than its factorization.

97205262132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 97205262132 in words is "ninety-seven billion, two hundred five million, two hundred sixty-two thousand, one hundred thirty-two".