87949 has 4 divisors (see below), whose sum is σ = 90364. Its totient is φ = 85536.

The previous prime is 87943. The next prime is 87959. The reversal of 87949 is 94978.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 59049 + 28900 = 243^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 87949 - 2⁵ = 87917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37), and also a Moran number because the ratio is a prime number: 2377 = 87949 / (8 + 7 + 9 + 4 + 9).

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87943) 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, 1152 + ... + 1225.

It is an arithmetic number, because the mean of its divisors is an integer number (22591).

2⁸⁷⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

87949 is a deficient number, since it is larger than the sum of its proper divisors (2415).

87949 is a wasteful number, since it uses less digits than its factorization.

87949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414.

The product of its digits is 18144, while the sum is 37.

The square root of 87949 is about 296.5619665433. The cubic root of 87949 is about 44.4710075006.

It can be divided in two parts, 879 and 49, that multiplied together give a triangular number (43071 = T₂₉₃).

The spelling of 87949 in words is "eighty-seven thousand, nine hundred forty-nine".