35061 has 16 divisors (see below), whose sum is σ = 53760. Its totient is φ = 20160.

The previous prime is 35059. The next prime is 35069. The reversal of 35061 is 16053.

35061 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35061 - 2¹ = 35059 is a prime.

It is a Curzon number.

35061 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 35061.

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 35061.

It is not an unprimeable number, because it can be changed into a prime (35069) 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, 1116 + ... + 1146.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2³⁵⁰⁶¹ is an apocalyptic number.

35061 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

35061 is a deficient number, since it is larger than the sum of its proper divisors (18699).

35061 is a wasteful number, since it uses less digits than its factorization.

35061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 35061 is about 187.2458277239. The cubic root of 35061 is about 32.7296554101.

The spelling of 35061 in words is "thirty-five thousand, sixty-one".