87354 has 24 divisors (see below), whose sum is σ = 198432. Its totient is φ = 27720.

The previous prime is 87337. The next prime is 87359. The reversal of 87354 is 45378.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87354.

It is not an unprimeable number, because it can be changed into a prime (87359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (8268).

2⁸⁷³⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99216).

87354 is an abundant number, since it is smaller than the sum of its proper divisors (111078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87354 is a wasteful number, since it uses less digits than its factorization.

87354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 87354 is about 295.5571010820. The cubic root of 87354 is about 44.3704941533.

It can be divided in two parts, 87 and 354, that added together give a square (441 = 21²).

The spelling of 87354 in words is "eighty-seven thousand, three hundred fifty-four".