97739136 has 160 divisors (see below), whose sum is σ = 317683080. Its totient is φ = 29583360.

The previous prime is 97739119. The next prime is 97739153. The reversal of 97739136 is 63193779.

It is an interprime number because it is at equal distance from previous prime (97739119) and next prime (97739153).

It is a junction number, because it is equal to n+sod(n) for n = 97739091 and 97739100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113620 + ... + 114476.

Almost surely, 2^97739136 is an apocalyptic number.

97739136 is a gapful number since it is divisible by the number (96) 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 97739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158841540).

97739136 is an abundant number, since it is smaller than the sum of its proper divisors (219943944).

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

97739136 is a wasteful number, since it uses less digits than its factorization.

97739136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 873 counting only the distinct ones).

The product of its digits is 214326, while the sum is 45.

The square root of 97739136 is about 9886.3105352806. The cubic root of 97739136 is about 460.6341851318.

The spelling of 97739136 in words is "ninety-seven million, seven hundred thirty-nine thousand, one hundred thirty-six".