97567 has 4 divisors (see below), whose sum is σ = 99880. Its totient is φ = 95256.

The previous prime is 97561. The next prime is 97571. The reversal of 97567 is 76579.

It is a semiprime because it is the product of two primes.

It is a 5-Lehmer number, since φ(97567) divides (97567-1)⁵.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-97567 is a prime.

It is a super-3 number, since 3×97567³ = 2786314333749789, which contains 333 as substring.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1092 + ... + 1177.

It is an arithmetic number, because the mean of its divisors is an integer number (24970).

2⁹⁷⁵⁶⁷ is an apocalyptic number.

97567 is a deficient number, since it is larger than the sum of its proper divisors (2313).

97567 is a wasteful number, since it uses less digits than its factorization.

97567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312.

The product of its digits is 13230, while the sum is 34.

The square root of 97567 is about 312.3571673581. The cubic root of 97567 is about 46.0363606652.

The spelling of 97567 in words is "ninety-seven thousand, five hundred sixty-seven".