33487 has 2 divisors, whose sum is σ = 33488. Its totient is φ = 33486.

The previous prime is 33479. The next prime is 33493. The reversal of 33487 is 78433.

33487 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 33487 - 2³ = 33479 is a prime.

It is a super-2 number, since 2×33487² = 2242758338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16743 + 16744.

It is an arithmetic number, because the mean of its divisors is an integer number (16744).

2³³⁴⁸⁷ is an apocalyptic number.

33487 is a deficient number, since it is larger than the sum of its proper divisors (1).

33487 is an equidigital number, since it uses as much as digits as its factorization.

33487 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 25.

The square root of 33487 is about 182.9945354375. The cubic root of 33487 is about 32.2323581976.

It can be divided in two parts, 3348 and 7, that multiplied together give a triangular number (23436 = T₂₁₆).

The spelling of 33487 in words is "thirty-three thousand, four hundred eighty-seven".