29885193 has 40 divisors (see below), whose sum is σ = 48726216. Its totient is φ = 18144000.

The previous prime is 29885189. The next prime is 29885213. The reversal of 29885193 is 39158892.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8982009 + 20903184 = 2997^2 + 4572^2 .

It is not a de Polignac number, because 29885193 - 2² = 29885189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29885113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106213 + ... + 106493.

Almost surely, 2^29885193 is an apocalyptic number.

It is an amenable number.

29885193 is a deficient number, since it is larger than the sum of its proper divisors (18841023).

29885193 is a wasteful number, since it uses less digits than its factorization.

29885193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 29885193 is about 5466.7351316851. The cubic root of 29885193 is about 310.3263749603.

It can be divided in two parts, 298 and 85193, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 29885193 in words is "twenty-nine million, eight hundred eighty-five thousand, one hundred ninety-three".