61170 has 16 divisors (see below), whose sum is σ = 146880. Its totient is φ = 16304.

The previous prime is 61169. The next prime is 61211. The reversal of 61170 is 7116.

61170 = T₂₈ + T₂₉ + ... + T₇₂.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 990 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2⁶¹¹⁷⁰ is an apocalyptic number.

61170 is an abundant number, since it is smaller than the sum of its proper divisors (85710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440).

61170 is a wasteful number, since it uses less digits than its factorization.

61170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 61170 is about 247.3256961984. The cubic root of 61170 is about 39.4015064658.

Adding to 61170 its reverse (7116), we get a palindrome (68286).

It can be divided in two parts, 61 and 170, that added together give a triangular number (231 = T₂₁).

The spelling of 61170 in words is "sixty-one thousand, one hundred seventy".