97410 has 32 divisors (see below), whose sum is σ = 248832. Its totient is φ = 24320.

The previous prime is 97397. The next prime is 97423. The reversal of 97410 is 1479.

It is an interprime number because it is at equal distance from previous prime (97397) and next prime (97423).

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97410.

It is an unprimeable number.

97410 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

2⁹⁷⁴¹⁰ is an apocalyptic number.

97410 is the 255-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416).

97410 is an abundant number, since it is smaller than the sum of its proper divisors (151422).

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

97410 is a wasteful number, since it uses less digits than its factorization.

97410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 97410 is about 312.1057513088. The cubic root of 97410 is about 46.0116542620.

Adding to 97410 its reverse (1479), we get a palindrome (98889).

The spelling of 97410 in words is "ninety-seven thousand, four hundred ten".