29742141 has 24 divisors (see below), whose sum is σ = 46853856. Its totient is φ = 16635840.

The previous prime is 29742127. The next prime is 29742143. The reversal of 29742141 is 14124792.

It is not a de Polignac number, because 29742141 - 2⁹ = 29741629 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29742099 and 29742108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29742143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2911 + ... + 8243.

It is an arithmetic number, because the mean of its divisors is an integer number (1952244).

Almost surely, 2^29742141 is an apocalyptic number.

It is an amenable number.

29742141 is a deficient number, since it is larger than the sum of its proper divisors (17111715).

29742141 is a wasteful number, since it uses less digits than its factorization.

29742141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5373 (or 5360 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 29742141 is about 5453.6355763839. The cubic root of 29742141 is about 309.8304344956.

It can be divided in two parts, 2974 and 2141, that added together give a palindrome (5115).

The spelling of 29742141 in words is "twenty-nine million, seven hundred forty-two thousand, one hundred forty-one".