97769136 has 160 divisors (see below), whose sum is σ = 285696000. Its totient is φ = 28664064.

The previous prime is 97769129. The next prime is 97769149. The reversal of 97769136 is 63196779.

97769136 is a nontrivial binomial coefficient, being equal to C(13984, 2).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1237545 + ... + 1237623.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^97769136 is an apocalyptic number.

97769136 is the 13983-rd triangular number and also the 6992-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97769136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

97769136 is an abundant number, since it is smaller than the sum of its proper divisors (187926864).

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

97769136 is a wasteful number, since it uses less digits than its factorization.

97769136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 428652, while the sum is 48.

The square root of 97769136 is about 9887.8276684012. The cubic root of 97769136 is about 460.6813092504.

The spelling of 97769136 in words is "ninety-seven million, seven hundred sixty-nine thousand, one hundred thirty-six".