32954 has 4 divisors (see below), whose sum is σ = 49434. Its totient is φ = 16476.

The previous prime is 32941. The next prime is 32957. The reversal of 32954 is 45923.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 45923 = 19 ⋅2417.

It can be written as a sum of positive squares in only one way, i.e., 29929 + 3025 = 173^2 + 55^2 .

It is a super-2 number, since 2×32954² = 2171932232, which contains 22 as substring.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32954.

It is not an unprimeable number, because it can be changed into a prime (32957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8237 + ... + 8240.

2³²⁹⁵⁴ is an apocalyptic number.

32954 is a deficient number, since it is larger than the sum of its proper divisors (16480).

32954 is a wasteful number, since it uses less digits than its factorization.

32954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16479.

The product of its digits is 1080, while the sum is 23.

The square root of 32954 is about 181.5323662601. The cubic root of 32954 is about 32.0604326748.

It can be divided in two parts, 329 and 54, that multiplied together give a triangular number (17766 = T₁₈₈).

The spelling of 32954 in words is "thirty-two thousand, nine hundred fifty-four".