97750 has 32 divisors (see below), whose sum is σ = 202176. Its totient is φ = 35200.

The previous prime is 97729. The next prime is 97771. The reversal of 97750 is 5779.

97750 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (97729) and next prime (97771).

It is a nialpdrome in base 10.

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, 4239 + ... + 4261.

It is an arithmetic number, because the mean of its divisors is an integer number (6318).

2⁹⁷⁷⁵⁰ is an apocalyptic number.

97750 is an abundant number, since it is smaller than the sum of its proper divisors (104426).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088).

97750 is a wasteful number, since it uses less digits than its factorization.

97750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 97750 is about 312.6499640173. The cubic root of 97750 is about 46.0651251460.

The spelling of 97750 in words is "ninety-seven thousand, seven hundred fifty".