4205642 has 32 divisors (see below), whose sum is σ = 7748352. Its totient is φ = 1672704.

The previous prime is 4205623. The next prime is 4205651. The reversal of 4205642 is 2465024.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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, 11738 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (242136).

Almost surely, 2^4205642 is an apocalyptic number.

4205642 is a deficient number, since it is larger than the sum of its proper divisors (3542710).

4205642 is a wasteful number, since it uses less digits than its factorization.

4205642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422.

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 4205642 is about 2050.7661982781. The cubic root of 4205642 is about 161.4150780259.

The spelling of 4205642 in words is "four million, two hundred five thousand, six hundred forty-two".