97769000 has 64 divisors (see below), whose sum is σ = 261480960. Its totient is φ = 33518400.

The previous prime is 97768999. The next prime is 97769017. The reversal of 97769000 is 96779.

It is a super-2 number, since 2×97769000² = 19117554722000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17 + ... + 13983.

It is an arithmetic number, because the mean of its divisors is an integer number (4085640).

Almost surely, 2^97769000 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 97769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130740480).

97769000 is an abundant number, since it is smaller than the sum of its proper divisors (163711960).

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

97769000 is a wasteful number, since it uses less digits than its factorization.

97769000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13995 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 38.

The square root of 97769000 is about 9887.8207912563. The cubic root of 97769000 is about 460.6810956429.

The spelling of 97769000 in words is "ninety-seven million, seven hundred sixty-nine thousand".