97947 has 6 divisors (see below), whose sum is σ = 141492. Its totient is φ = 65292.

The previous prime is 97943. The next prime is 97961. The reversal of 97947 is 74979.

It is not a de Polignac number, because 97947 - 2² = 97943 is a prime.

It is a super-2 number, since 2×97947² = 19187229618, which contains 22 as substring.

97947 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97947.

It is not an unprimeable number, because it can be changed into a prime (97943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5433 + ... + 5450.

It is an arithmetic number, because the mean of its divisors is an integer number (23582).

2⁹⁷⁹⁴⁷ is an apocalyptic number.

97947 is a deficient number, since it is larger than the sum of its proper divisors (43545).

97947 is a wasteful number, since it uses less digits than its factorization.

97947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10889 (or 10886 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 97947 is about 312.9648542568. The cubic root of 97947 is about 46.0960500911.

It can be divided in two parts, 9794 and 7, that added together give a square (9801 = 99²).

The spelling of 97947 in words is "ninety-seven thousand, nine hundred forty-seven".