61035 has 16 divisors (see below), whose sum is σ = 105504. Its totient is φ = 29952.

The previous prime is 61031. The next prime is 61043. The reversal of 61035 is 53016.

It is not a de Polignac number, because 61035 - 2² = 61031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61035.

It is not an unprimeable number, because it can be changed into a prime (61031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (6594).

2⁶¹⁰³⁵ is an apocalyptic number.

61035 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61035 is a deficient number, since it is larger than the sum of its proper divisors (44469).

61035 is a wasteful number, since it uses less digits than its factorization.

61035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334.

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

The square root of 61035 is about 247.0526259727. The cubic root of 61035 is about 39.3724992113.

The spelling of 61035 in words is "sixty-one thousand, thirty-five".