32054 has 16 divisors (see below), whose sum is σ = 55296. Its totient is φ = 13800.

The previous prime is 32051. The next prime is 32057. The reversal of 32054 is 45023.

32054 = T₁₄ + T₁₅ + ... + T₅₇.

It is an interprime number because it is at equal distance from previous prime (32051) and next prime (32057).

It is an Ulam number.

32054 is a modest number, since divided by 54 gives 32 as remainder.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32054.

It is not an unprimeable number, because it can be changed into a prime (32051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (3456).

2³²⁰⁵⁴ is an apocalyptic number.

32054 is a deficient number, since it is larger than the sum of its proper divisors (23242).

32054 is a wasteful number, since it uses less digits than its factorization.

32054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91.

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 32054 is about 179.0363091666. The cubic root of 32054 is about 31.7658692653.

Adding to 32054 its reverse (45023), we get a palindrome (77077).

The spelling of 32054 in words is "thirty-two thousand, fifty-four", and thus it is an eban number.