93261 has 8 divisors (see below), whose sum is σ = 142144. Its totient is φ = 53280.

The previous prime is 93257. The next prime is 93263. The reversal of 93261 is 16239.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 93261 - 2² = 93257 is a prime.

It is a super-2 number, since 2×93261² = 17395228242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 4441 = 93261 / (9 + 3 + 2 + 6 + 1).

It is a Duffinian number.

93261 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2200 + ... + 2241.

It is an arithmetic number, because the mean of its divisors is an integer number (17768).

2⁹³²⁶¹ is an apocalyptic number.

It is an amenable number.

93261 is a deficient number, since it is larger than the sum of its proper divisors (48883).

93261 is a wasteful number, since it uses less digits than its factorization.

93261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451.

The product of its digits is 324, while the sum is 21.

The square root of 93261 is about 305.3866401793. The cubic root of 93261 is about 45.3488929192.

The spelling of 93261 in words is "ninety-three thousand, two hundred sixty-one".