87261 has 16 divisors (see below), whose sum is σ = 129600. Its totient is φ = 51968.

The previous prime is 87257. The next prime is 87277. The reversal of 87261 is 16278.

It is not a de Polignac number, because 87261 - 2² = 87257 is a prime.

It is a super-2 number, since 2×87261² = 15228964242, which contains 22 as substring.

87261 is a modest number, since divided by 261 gives 87 as remainder.

87261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450 + ... + 1508.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁸⁷²⁶¹ is an apocalyptic number.

It is an amenable number.

87261 is a deficient number, since it is larger than the sum of its proper divisors (42339).

87261 is a wasteful number, since it uses less digits than its factorization.

87261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108.

The product of its digits is 672, while the sum is 24.

The square root of 87261 is about 295.3997291806. The cubic root of 87261 is about 44.3547424564.

The spelling of 87261 in words is "eighty-seven thousand, two hundred sixty-one".