42770 has 32 divisors (see below), whose sum is σ = 96768. Its totient is φ = 13248.

The previous prime is 42767. The next prime is 42773. The reversal of 42770 is 7724.

42770 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (42767) and next prime (42773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁴²⁷⁷⁰ is an apocalyptic number.

42770 is an abundant number, since it is smaller than the sum of its proper divisors (53998).

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 (48384).

42770 is a wasteful number, since it uses less digits than its factorization.

42770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74.

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 42770 is about 206.8090907093. The cubic root of 42770 is about 34.9714052160.

It can be divided in two parts, 427 and 70, that multiplied together give a triangular number (29890 = T₂₄₄).

The spelling of 42770 in words is "forty-two thousand, seven hundred seventy", and thus it is an iban number.