35673 has 16 divisors (see below), whose sum is σ = 55296. Its totient is φ = 20240.

The previous prime is 35671. The next prime is 35677. The reversal of 35673 is 37653.

35673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35673 - 2¹ = 35671 is a prime.

It is a Curzon number.

35673 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (35671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736 + ... + 782.

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

2³⁵⁶⁷³ is an apocalyptic number.

35673 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35673 is a deficient number, since it is larger than the sum of its proper divisors (19623).

35673 is a wasteful number, since it uses less digits than its factorization.

35673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its digits is 1890, while the sum is 24.

The square root of 35673 is about 188.8729731857. The cubic root of 35673 is about 32.9189932305.

It can be divided in two parts, 3567 and 3, that multiplied together give a palindrome (10701).

The spelling of 35673 in words is "thirty-five thousand, six hundred seventy-three".