97461 has 36 divisors (see below), whose sum is σ = 186732. Its totient is φ = 48384.

The previous prime is 97459. The next prime is 97463. The reversal of 97461 is 16479.

97461 is a nontrivial binomial coefficient, being equal to C(442, 2).

It is an interprime number because it is at equal distance from previous prime (97459) and next prime (97463).

It can be written as a sum of positive squares in 2 ways, for example, as 44100 + 53361 = 210^2 + 231^2 .

It is not a de Polignac number, because 97461 - 2¹ = 97459 is a prime.

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 (97463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5725 + ... + 5741.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2⁹⁷⁴⁶¹ is an apocalyptic number.

97461 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

97461 is the 441-st triangular number and also the 221-st hexagonal number.

It is an amenable number.

97461 is a deficient number, since it is larger than the sum of its proper divisors (89271).

97461 is a wasteful number, since it uses less digits than its factorization.

97461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 40 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 97461 is about 312.1874436937. The cubic root of 97461 is about 46.0196828181.

It can be divided in two parts, 974 and 61, that added together give a triangular number (1035 = T₄₅).

The spelling of 97461 in words is "ninety-seven thousand, four hundred sixty-one".