1541958 has 32 divisors (see below), whose sum is σ = 3428352. Its totient is φ = 458400.

The previous prime is 1541957. The next prime is 1541963. The reversal of 1541958 is 8591451.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1541957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3835 + ... + 4217.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

2^1541958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1541958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714176).

1541958 is an abundant number, since it is smaller than the sum of its proper divisors (1886394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1541958 is a wasteful number, since it uses less digits than its factorization.

1541958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460.

The product of its digits is 7200, while the sum is 33.

The square root of 1541958 is about 1241.7560146824. The cubic root of 1541958 is about 115.5289558406.

It can be divided in two parts, 154 and 1958, that added together give a palindrome (2112).

The spelling of 1541958 in words is "one million, five hundred forty-one thousand, nine hundred fifty-eight".