34485 has 24 divisors (see below), whose sum is σ = 63840. Its totient is φ = 15840.

The previous prime is 34483. The next prime is 34487. The reversal of 34485 is 58443.

34485 = T₇₈ + T₇₉ + ... + T₈₇.

It is a happy number.

34485 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34483) and next prime (34487).

It is not a de Polignac number, because 34485 - 2¹ = 34483 is a prime.

34485 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1806 + ... + 1824.

It is an arithmetic number, because the mean of its divisors is an integer number (2660).

2³⁴⁴⁸⁵ is an apocalyptic number.

It is an amenable number.

34485 is a deficient number, since it is larger than the sum of its proper divisors (29355).

34485 is a wasteful number, since it uses less digits than its factorization.

34485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 38 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 34485 is about 185.7013731775. The cubic root of 34485 is about 32.5494316809.

The spelling of 34485 in words is "thirty-four thousand, four hundred eighty-five".