61674 has 16 divisors (see below), whose sum is σ = 130080. Its totient is φ = 19440.

The previous prime is 61673. The next prime is 61681. The reversal of 61674 is 47616.

It can be divided in two parts, 61 and 674, that multiplied together give a palindrome (41114).

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 61674.

It is not an unprimeable number, because it can be changed into a prime (61673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (8130).

2^{61674} is an apocalyptic number.

61674 is an abundant number, since it is smaller than the sum of its proper divisors (68406).

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 (65040).

61674 is a wasteful number, since it uses less digits than its factorization.

61674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

The product of its digits is 1008, while the sum is 24.

The square root of 61674 is about 248.3425054235. The cubic root of 61674 is about 39.5094246592.

The spelling of 61674 in words is "sixty-one thousand, six hundred seventy-four".

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