87461 has 4 divisors (see below), whose sum is σ = 95424. Its totient is φ = 79500.

The previous prime is 87443. The next prime is 87473. The reversal of 87461 is 16478.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-87461 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 87461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3965 + ... + 3986.

It is an arithmetic number, because the mean of its divisors is an integer number (23856).

2⁸⁷⁴⁶¹ is an apocalyptic number.

It is an amenable number.

87461 is a deficient number, since it is larger than the sum of its proper divisors (7963).

87461 is a wasteful number, since it uses less digits than its factorization.

87461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962.

The product of its digits is 1344, while the sum is 26.

The square root of 87461 is about 295.7380597759. The cubic root of 87461 is about 44.3886032486.

The spelling of 87461 in words is "eighty-seven thousand, four hundred sixty-one".