97806672 has 60 divisors (see below), whose sum is σ = 285633504. Its totient is φ = 31183680.

The previous prime is 97806539. The next prime is 97806673. The reversal of 97806672 is 27660879.

It is a happy number.

It is a super-2 number, since 2×97806672² = 19132290175431168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97806673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11454 + ... + 18077.

Almost surely, 2^97806672 is an apocalyptic number.

97806672 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

97806672 is an abundant number, since it is smaller than the sum of its proper divisors (187826832).

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

97806672 is a wasteful number, since it uses less digits than its factorization.

97806672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29568 (or 29559 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 97806672 is about 9889.7255775881. The cubic root of 97806672 is about 460.7402573733.

The spelling of 97806672 in words is "ninety-seven million, eight hundred six thousand, six hundred seventy-two".